Details

analyze534.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
6.2%	93.6%	0.2%	8
25%	74.9%	0.2%	9
28.1%	71.7%	0.2%	10
29.6%	70.2%	0.2%	11
53%	46.8%	0.2%	12
71.3%	28.5%	0.2%	13
71.7%	28.1%	0.2%	14

sample23.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
1.0ms	14×	body	80	invalid

simplify319.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (310.0ms)

Iter	Nodes	Cost
0	5126	22

prune1.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 28.8b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 c c) (.f64 d d))
0.3b	(-.f64 (.f64 b c) (.f64 a d))
28.3b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`times-frac_binary64`
7×	`add-log-exp_binary64`
5×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-/r_binary64` `pow1_binary64` `associate-/l_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `flip3--_binary64` `associate-/r/_binary64` `flip--_binary64` `flip-+_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

3 → 54

Calls

3 calls:

4.0ms	(+.f64 (.f64 c c) (.f64 d d))
4.0ms	(-.f64 (.f64 b c) (.f64 a d))
9.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))

series164.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(+.f64 (.f64 c c) (.f64 d d))
38.0ms	(-.f64 (.f64 b c) (.f64 a d))
103.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))

simplify86.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5715	1456

prune69.0ms

Filtered

49 candidates to 63 candidates (-28.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	57	6	63
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	57	7	64

Merged error: 28.0b

Counts

64 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(-.f64 (.f64 b c) (.f64 a d))
16.8b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
30.3b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
30.3b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64`
21×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
18×	`times-frac_binary64` `sqrt-prod_binary64`
6×	`associate-/r*_binary64` `add-log-exp_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `sqrt-div_binary64`
3×	`flip3-+_binary64` `associate-/l*_binary64` `flip-+_binary64`
2×	`associate-/l/_binary64` `pow1/2_binary64` `flip3--_binary64` `associate-/r/_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `flip--_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

4 → 85

Calls

4 calls:

4.0ms	(-.f64 (.f64 b c) (.f64 a d))
10.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
4.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
4.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

series213.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(-.f64 (.f64 b c) (.f64 a d))
125.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
25.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
26.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

simplify91.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4933	2368
1	4933	2368

prune87.0ms

Filtered

77 candidates to 97 candidates (-26.0%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	92	5	97
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	94	10	104

Merged error: 24.5b

Counts

104 → 10

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(-.f64 (.f64 c b) (.f64 d a))
16.8b	(/.f64 (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))) (-.f64 (.f64 c b) (.f64 d a)))
30.3b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
30.3b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64`
21×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
18×	`times-frac_binary64` `sqrt-prod_binary64`
6×	`add-log-exp_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/l*_binary64` `sqrt-div_binary64`
3×	`flip3-+_binary64` `associate-/r*_binary64` `flip-+_binary64`
2×	`associate-/l/_binary64` `pow1/2_binary64` `flip3--_binary64` `associate-/r/_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `flip--_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

4 → 84

Calls

4 calls:

4.0ms	(-.f64 (.f64 c b) (.f64 d a))
10.0ms	(/.f64 (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))) (-.f64 (.f64 c b) (.f64 d a)))
4.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
4.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

series184.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(-.f64 (.f64 c b) (.f64 d a))
90.0ms	(/.f64 (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))) (-.f64 (.f64 c b) (.f64 d a)))
26.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
25.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

simplify81.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4967	2352
1	4967	2352

prune81.0ms

Filtered

73 candidates to 96 candidates (-31.5%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	96	10	106

Merged error: 24.5b

Counts

106 → 10

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(-.f64 (.f64 b c) (.f64 a d))
16.8b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
30.3b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
30.3b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64`
21×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
18×	`times-frac_binary64` `sqrt-prod_binary64`
6×	`associate-/r*_binary64` `add-log-exp_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `sqrt-div_binary64`
3×	`flip3-+_binary64` `associate-/l*_binary64` `flip-+_binary64`
2×	`associate-/l/_binary64` `pow1/2_binary64` `flip3--_binary64` `associate-/r/_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `flip--_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

4 → 85

Calls

4 calls:

4.0ms	(-.f64 (.f64 b c) (.f64 a d))
9.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
4.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
4.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

series214.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(-.f64 (.f64 b c) (.f64 a d))
127.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
22.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
26.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

simplify85.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4933	2368
1	4933	2368

prune76.0ms

Filtered

77 candidates to 97 candidates (-26.0%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	6	6
Picked	0	1	1
Done	0	3	3
Total	97	10	107

Merged error: 24.5b

Counts

107 → 10

regimes108.0ms

Accuracy

17.1% (2.5b remaining)

Error of 25.3b against oracle of 22.7b and baseline of 25.8b

bsearch1.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	62	82
1	62	82

end0.0ms

sample601.0ms

Algorithm

intervals

Results

353.0ms	8000×	body	80	valid
20.0ms	479×	body	80	invalid

Details

analyze534.0ms

sample23.0ms

simplify319.0ms

prune1.0ms

localize10.0ms

rewrite18.0ms

series164.0ms

simplify86.0ms

prune69.0ms

localize12.0ms

rewrite24.0ms

series213.0ms

simplify91.0ms

prune87.0ms

localize14.0ms

rewrite24.0ms

series184.0ms

simplify81.0ms

prune81.0ms

localize14.0ms

rewrite23.0ms

series214.0ms

simplify85.0ms

prune76.0ms

regimes108.0ms

bsearch1.0ms

simplify4.0ms

end0.0ms

sample601.0ms

Profiling